GCD of 489, 147, 90, 354 Calculator

Given Input numbers are 489, 147, 90, 354

In the factoring method, we have to find the divisors of all numbers

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (489, 147, 90, 354) = 3.

Given numbers are 489, 147, 90, 354

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 147 are 3 x 7 x 7

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 489, 147, 90, 354 is 3.

Given numbers are 489, 147, 90, 354

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(489, 147) = 23961

GCD(489, 147) = ( 489 x 147 ) / 23961

= 489 / 147

= 489

Step2:

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

= 3 / 90

= 3

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 489, 147, 90, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 487, 99, 412
• GCD of 459, 856, 35, 710
• GCD of 600, 350, 82, 645
• GCD of 249, 651, 37, 568
• GCD of 289, 197, 52, 517

Given numbers are 489, 147, 90, 354
The greatest common divisor of numbers 489, 147, 90, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 147, 90, 354 is 3.

1. What is the GCD of 489, 147, 90, 354?

GCD of given numbers 489, 147, 90, 354 is 3

2. How to calculate the greatest common divisor of 489, 147, 90, 354?

We can find the highest common divisor of 489, 147, 90, 354 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 489, 147, 90, 354 i.e 3.

3. How can I use the GCD of 489, 147, 90, 354Calculator?

Out the numbers 489, 147, 90, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.